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If w and z are positive is w/z < 1 ?

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If w and z are positive is w/z < 1 ? [#permalink] New post 25 Jul 2010, 23:58
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If w and z are positive is w/z < 1 ?

(1) w < 2
(2) z < 4
[Reveal] Spoiler: OA
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Re: arthmetic relation [#permalink] New post 26 Jul 2010, 00:27
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xmagedo wrote:
If w and Z are positive is W/Z<1 ?

1 w<2
2 Z<4


As given that z is positive we can safely multiply inequality \frac{w}{z}<1 by it and we'll get w<z. So the question becomes: is w<z?

(1) w<2. No info about z, not sufficient.
(2) z<4. No info about w, not sufficient.

(1)+(2) Still not sufficient, as w from the range 0<w<2 may or may not be more less than z from the range 0<z<4.

Answer: E.
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Re: arthmetic relation [#permalink] New post 26 Jul 2010, 13:51
1) w<2 (not suufficient,we dont have Z value)
2) Z<4 (not sufficient, we dont have W value)

By considering 2 statements together
Is W/Z<1
If consider different values for W,Z
W/Z<1 = 1/2 =0.5 makes the statement true
W/Z<1= 1.99/1=1.99 makes the statement false

so the answer is E
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Re: If w and Z are positive is W/Z<1 ? 1 w<2 2 Z<4 [#permalink] New post 24 Aug 2013, 20:46
OA is A ..
Can anyone tell why it is A?

Even I arrived at E.
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Re: If w and Z are positive is W/Z<1 ? 1 w<2 2 Z<4 [#permalink] New post 25 Aug 2013, 06:45
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SUNGMAT710 wrote:
If w and Z are positive is W/Z<1 ?

1 w<2
2 Z<4

OA is A ..
Can anyone tell why it is A?

Even I arrived at E.


The correct answer is E, not A. Consider w=1 and z=2 for an YES answer and w=1 and z=1/2 for a NO answer.
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Re: If w and z are positive is w/z < 1 ? [#permalink] New post 28 Aug 2013, 16:52
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Hi Bunuel,
I agree with the answer. However, I noticed a typo in your explanation. "As given that z is positive we can safely multiply inequality by it and we'll get w>z. So the question becomes: is w>z?" When you multiply W/Z<1 by Z , you will get W<Z. Isn't that correct?
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Re: If w and z are positive is w/z < 1 ? [#permalink] New post 29 Aug 2013, 01:02
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rumehta wrote:
Hi Bunuel,
I agree with the answer. However, I noticed a typo in your explanation. "As given that z is positive we can safely multiply inequality by it and we'll get w>z. So the question becomes: is w>z?" When you multiply W/Z<1 by Z , you will get W<Z. Isn't that correct?


Typo edited. Thank you.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: If w and z are positive is w/z < 1 ? [#permalink] New post 17 Jan 2014, 04:44
xmagedo wrote:
If w and z are positive is w/z < 1 ?

(1) w < 2
(2) z < 4


Lets combine straight away:

w = 1 and z = 3 and w/z is less than 1

w = 1 and z = 0.5 and w/z is greater than 1

Hence E
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Re: If w and z are positive is w/z < 1 ?   [#permalink] 17 Jan 2014, 04:44
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